25 pts!!!!!!!!!!!!!!

Write an expression using fractions to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.


Naquin: 19.20$/58.80$

Zachary: 12.00$/58.80$

Santiago: 15.60$/58.80$

Joshua: 12.00$/58.80$

Answer:

This is an example of systematic sampling, which is a valid sampling method if the ordering of the individuals in the population does not affect the results. However, it may not be a representative sample if there is any pattern or bias in the order of the individuals.

Using the given information, we can estimate the proportion of people who have used their price plus card as:

38/50 = 0.76

Therefore, we can expect that approximately 0.76 of the 800 people in the store would be using their price plus card:

0.76 x 800 = 608 people.

Answer:

Yes

608 people

Step-by-step explanation:

800 × 38 =30400

30400 ÷ 50 =608

Answer:

1103.1 is the answer

Step-by-step explanation:

Answer:

x > -1

See picture.

Step-by-step explanation:

\(-3x-5<-2\\\\-3x-5+5<-2+5\\\\-3x<3\\\\\frac{-3x<3}{-3}\\\\\boxed{x>-1}\)

Hope this helps.

The solution of the given inequality -3x - 5 < -2 is x > -1.

Inequality is comparing of two non-equal expressions or terms.In linear inequality variables have highest degree of 1.It shows that one value is less than, greater than, less than or equal to or greater than or equal to other.

According to the given question we have to find the solution of the given inequality -3x -5 < -2.

-3x - 5 < - 2

-3x < 3

3x > -3          ( Think of moving the terms to other side to make x positive )

x > 3/-3

x > - 1.

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Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.

answer is D. None of the above.

To test if there is significant evidence to claim that the variance of the battery life population is different than 4 hours2, we can use a chi-square test.This is how the test statistic is computed:

X2 = (n-1)*(s2/σ2)

where n is the sample size, s2 is the sample variance and σ2 is the population variance.

In this case, n = 16, s2 = 3.25 and σ2 = 4

X2 = (16-1)*(3.25/4) = 12.1875

The critical value of X2 with 15 degrees of freedom and α = 0.05 is 24.996. Therefore, since 12.1875 < 24.996, we fail to reject the null hypothesis, and there is not sufficient evidence to claim that the variance of the battery life population is different than 4 hours2 at a significance level of 0.05.

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The future value is given by:

Where:

PV = Present value

FV = Future value

r = interest rate

t = time

So:

Answer:

$6598.887369

The measure of side KL from triangle KLM is 22 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle HIJ is similar to triangle KLM.

From the similar triangles,

JH/MK =HI/KL

31/13.9 =49/KL

31KL=49×13.9

31KL=681.1

KL=681.1/31

KL=21.97

KL≈22

Therefore, the measure of side KL is 22 units.

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The markup amount of the purchase is $1114

From the question, we have the following parameters that can be used in our computation:

Discount = 30%

Selling price = $780

The markup amount is calculated using the following equation

Selling price = Markup amount * (1 - discount)

Make the markup the subject

Markup = Selling price/(1 - discount)

Substitute the known values in the above equation, so, we have the following representation

Markup = 780/(1 - 30%)

Evaluate

Markup = 1114

Hence, the markup is $1114

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Answer:

a

Step-by-step explanation:

x+2y=-10

-x       -x

2y=-10-x

y=(1/2)x-5

This is one of the lines and reduces the options to a or c.

3x-y=12

-3x    -3x

-y=12-3x

y=3x-12

This is the line with the positive slope and since both lines match, the answer is a.

Answer:

$839.20

Step-by-step explanation:

To find the finance charge, we need to first calculate the total amount financed, which is the price of the snow thrower minus the down payment.

The down payment is 20% of $1,501, which is:

0.20 x $1,501 = $300.20

So the total amount financed is:

$1,501 - $300.20 = $1,200.80

The total amount of the 12 monthly payments is:

12 x $170 = $2,040

The finance charge is the difference between the total amount of the payments and the amount financed:

$2,040 - $1,200.80 = $839.20

Therefore, the finance charge is $839.20.

Answer:

2 pairs if running shoes

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

We should add the number of each type to get the total number of types. So the answer is

12+12+7=31

Answer:

Question 3

Find the range of the function for the domain 2 < x < 3

\(f(2)=(2)^2-1=3\)

\(f(3)=(3)^2-1=8\)

Therefore, the range of \(f(x)=x^2-1\) is \(3 < f(x) < 8\) with domain 2 < x < 3

This means that for the function to be continuous, when the domain is x=3, f(x) = 8

\(f(3)=2a(3)=6a\)

\(\implies 6a=8\implies a=\dfrac43\)

Similarly, when the domain is x > 3, f(x) > 8

\(f(3)=b(3)-4=3b-4\)

\(\implies 3b-4 > 8 \implies b = 4\)

Therefore, \(a=\dfrac43\) and b = 4

Question 5

\(\textsf{let}\:u=\ln (x)\)

\(\implies \dfrac{du}{dx}=\dfrac{1}{x}\implies dx=x\:du\)

\(x=1\implies u=0\)

\(x=3 \implies u=\ln 3\)

\(\implies \displaystyle \int\limits_{1}^{3} \dfrac{\ln x \sin (\ln x)}{x} \,\:dx=\displaystyle \int\limits_{0}^{\ln 3} \dfrac{u \sin u}{x} \, \cdot x\:du=\displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du\)

Use integration by parts:

\(\displaystyle \int u\dfrac{dv}{dx} \, dx=uv- \displaystyle \int v \dfrac{du}{dx} \, dx\)

\(\textsf{where}\:u=u\:\textsf{and}\:\dfrac{dv}{dx}=\sin u\)

\(\implies \dfrac{du}{dx}=1\:\textsf{and}\:v=\int \sin u=-\cos u\)

\(\implies \displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du=-u \cos u- \int\limits_{0}^{\ln 3}-\cos u \,\:du\)

\(\begin{aligned}\implies \displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du & =\left[-u \cos u+ \sin u\right]_{0}^{\ln 3}\\ & =[- (\ln 3) \cos (\ln 3)+ \sin (\ln 3)]-[-0 \cos (0)+ \sin (0)]\\\\ & =[- (\ln 3) \cos (\ln 3)+ \sin (\ln 3)]-0\\\\ & = 0.3908925527...\end{aligned}\)

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Answer:

There were 7 small boxes and 14 large boxes shipped.

Step-by-step explanation:

This problem may be solved by a system of equations:

I am going to say that:

x is the number of small boxes used

y is the number of large boxes used

There were twice as many large boxes shipped as small boxes shipped

This means that y = 2x

Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.

This means that 45x + 80y =1435

So we have to solve the following system:

y=2x

45x + 80y =1435

45x + 80 (2x) = 1435

205x = 1435

x= 1435/205

x=7

y=2x= 2(7) = 14

There were 7 small boxes and 14 large boxes shipped.

The masses between the Earth and the Moon found using the Newton's law of universal gravitation, whereby the gravitational force between them is 1.682 × 10²⁶ N, and the mass of the Moon is about 7.1 × 10²² kg, is about 411,144.67 meters'

The Newton's law of universal gravitation indicates that formula for finding the gravitational force F between two objects, can be expressed as follows;

F = G·(m₁·m₂)/d²

Where;

F = The gravitational force

G = The gravitational constant

m₁ and m₂ are the mass of the two objects

d = The distance between them

Where

F = 1.682 × 10²⁶ N·m²·kg⁻²

G = 6.67430 × 10⁻¹¹ N·m²·kg⁻²

m₁ = 6 × 10²⁴ kg

m₂ = 7.1 × 10²² kg

Plugging in the above values into the Newton's law of universal gravitation, we get;

1.682 × 10²⁶ = 6.67430 × 10⁻¹¹ × (6 × 10²⁴ × 7.1 × 10²²)/d²

d² = 6.67430 × 10⁻¹¹ × (6 × 10²⁴ × 7.1 × 10²²)/1.682 × 10²⁶ ≈ 169039940547

d ≈ √(169039940547) ≈ 411144.67

The distance between the Earth and the Moon, found using the specified masses is about 411144.67 meters.

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\(\longrightarrow{\green{7 \frac{20}{21}}}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} \)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)

Answer:

A

Step-by-step explanation:

Answer:

B. all expected frequencies > 5

Step-by-step explanation:

The expected number np(i) in any of the classes or cells should not be less than 5. So when the expected number np(i) in any  class is less than 5 , we may combine this class with one or more other classes to meet this requirement.

It is clear that chi square  will be small when all ni are close to their expected values npi. The chi square will become larger when the difference becomes larger. The chi square thus measures the amount of deviation ( or agreement ) between the observed and expected results.

Thus it is a good approximation if all the expected values npi are sufficiently large and hence chi square distribution confirms with the ( k-1) degrees of freedom.

\(\qquad\)____________________

\(\qquad\) \( \bf{\underline{\underline{\sf According\ to\ the\ question:-}}} \)

\(\qquad\)\( \pink{\bf \twoheadrightarrow {x\ +\ x\ +\ 8°\ =\ 90⁰} }\)

\(\qquad\)\( \sf \twoheadrightarrow 2x + 8° = 90° \)

\(\qquad\)\( \sf \twoheadrightarrow 2x = 90° - 8° \)

\(\qquad\)\( \sf \twoheadrightarrow 2x = 82 \)

\(\qquad\)\( \sf \twoheadrightarrow x = \cancel{\dfrac{82°}{2}} \)

\(\qquad\)\( \pink{\bf \twoheadrightarrow x = 41° }\)

Then –

\(\qquad\)\( \bf \longrightarrow x +8° \)

\(\qquad\)\( \tt \longrightarrow 41° + 8° \)

\(\qquad\)\( \tt \longrightarrow 49° \)

\(\qquad\)______________________

The angle measures 49 degrees, and its complementary angle measures (90 - 49) = 41 degrees.

Let's denote the measure of the angle as "x" degrees. The complementary angle is 90 degrees minus the given angle, since the sum of angles in a complementary pair is 90 degrees.

So, the complementary angle is (90 - x) degrees.

According to the given information, the angle measures 8 degrees more than its complementary angle:

x = (90 - x) + 8

Now, solve for "x":

2x = 98

x = 98 / 2

x = 49

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Answer: 8p=c

Step-by-step explanation:

Answer:

A÷(3-B)

quotient means division

when they say and, that means you need to divide between the two values

So, let's simplify the expression:

3(x² -x -2) +2x(3-x) -7x=

3x² -3x -6 +6x -2x² -7x =

x²-4x -6

The time that it take Sophia and Cameron to clean the small house together is 4 2/17 hours.

b. The manager is incorrect. They'll finish in about 4 hours.

From the information, Lisa is a manager at a maid service company and she has two maids working for her, Sophia and Cameron. Sophia can clean a small house in 7 hours while Cameron can clean the same small house in 10 hours.

This will be Illustrated as:

1/7 + 1/10 = 1/t

where t = time.

10/70 + 7/70 = 1/t

17 / 70 = 1/t

t = 70 / 17

t = 4 2/17 hours

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Answer:

3 pairs of socks

Step-by-step explanation:

2 shirts *12per shirt = $24 spent so far

$39 - $24 dollars spent so far = $15 dollars left

$15 dollars left/$5 per pair of socks = 3 pairs of socks.

An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of pairs of socks that Rebecca bought be represented by x.

Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,

Purchase value of socks + Purchase value of t-shirts = Total purchase value

($5 × x) + ($12 × 2) = $39

5x + 24 = 39

5x = 39 - 24

5x = 15

x = 15/5

x = 3

Hence, the total number of socks that Rebecca bought is 3.

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In order to determine f(-3), we just need to use the value of x = -3 in the equation of f(x) and determine its value.

So we have:

So the value of f(-3) is 1.

Richard’s net pay for the week if he earns $2,200 is equal to $1,797.65.

Mathematically, net pay can be calculated by using this formula:

Net pay = Gross pay - Deductions.

First of all, we would determine Richard's Medicare tax and Social Security tax on $1,000 as follows:

Medicare tax = $2,200 × 1.45/100

Medicare tax = $31.9

Social Security tax = $1,000 × 6.2/100

Social Security tax = $62

Since Richard claims 2 exemptions and paid weekly, we would calculate the withholdings from his weekly pay by using the information provided in Table 1 (see attachment):

Two (2) exemptions = $76.9 × 2 = $153.8

Withholdings = $2,200 - $153.8

Withholdings = $2046.2

Since Richard claims to be married, we would calculate his federal tax withholdings by using the information provided in Table 1 (see attachment):

Over $1,606 = $198.40 plus 25%

= $2046.2 - $1,606 = $440.2

Federal tax withholdings = $198.40 + (25/100 × $440.2)

Federal tax withholdings = $198.40 + $110.05

Federal tax withholdings = $308.45

Now, we can calculate Richard's net pay as follows:

Richard's net pay = Gross pay - Medicare tax - Social Security tax - Federal tax withholdings

Richard's net pay = $2,200 - $31.9 - $62 - $308.45

Richard's net pay = $1,797.65

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Answer:

hi

Step-by-step explanation:

i'm excellent, i could help

Answer:

250 hours

Step-by-step explanation:

The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96)  and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².

This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is

\(a\frac{1-r^{n}}{1-r}\), with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then

\(10\frac{1}{0.04} =10*25=250\)

Answer:

\(0.04 = 4 \div 100 \)

The equivalent to the given expression is 5√5.

What is simplification?

In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

Here, we have

=√20 + √45, by applying simplification, we get

= 2√5 + 3√5

Taking √5 as common.

=  (2 + 3)√5

=  5√5

Hence, the equivalent to the given expression is 5√5.

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